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Finding the Third Proportional to 92,728 and 139,524

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Solution

The third proportional to 92,728 and 139,524 is: 209,936.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,728 : 139,524 = 139,524 : x
  2. Step 2: Convert to fraction form
    92,728/139,524 = 139,524/x
  3. Step 3: Cross multiply
    92,728x = 139,524 × 139,524
  4. Step 4: Simplify right side
    92,728x = 19,466,946,576
  5. Step 5: Solve for x
    x = 19,466,946,576/92,728
  6. Step 6: Final answer
    x = 209,936.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.